Study of torsion of cylindrical shaft in the context of the peridynamic theory
A contribution to the development of the theory of peridynamic elasticity
BEPE project - associated to FAPESP master Fellowship (process 2012/05784-7): stud...
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| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Sao Paulo, Dept Struct Engn EESC, Sao Carlos, SP - Brazil
Total Affiliations: 1
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| Document type: | Journal article |
| Source: | MATHEMATICS AND MECHANICS OF SOLIDS; NOV 2021. |
| Web of Science Citations: | 0 |
| Abstract | |
We investigate the properties of an isotropic linear elastic peridynamic material in the context of a three-dimensional state-based peridynamic theory, which considers both length and relative angle changes, and is based on a free energy function proposed in previous work that contains four material constants. To this end, we consider a class of equilibrium problems in mechanics to show that, in interior points of the body where deformations are smooth, the corresponding solutions in classical linear elasticity are also equilibrium solutions in peridynamics. More generally, we show that the equations of equilibrium are satisfied even when two of the four peridynamic constants are arbitrary. Pure torsion of a cylindrical shaft and pure bending of a cylindrical beam are particular cases of this class of problems and are used together with a correspondence argument proposed elsewhere to determine these two constants in terms of the elasticity constants of an isotropic material from the classical linear elasticity. One of the constants has a singularity in the Poisson ratio, which needs further investigation. Two additional experiments concerning bending of cylindrical beam by terminal load and anti-plane shear of a hollow cylinder, which do not belong to the previous class of problems, are used to validate these results. (AU) | |
| FAPESP's process: | 17/23669-4 - A contribution to the development of the theory of peridynamic elasticity |
| Grantee: | Alan Bourscheidt Seitenfuss |
| Support Opportunities: | Scholarships in Brazil - Doctorate |
| FAPESP's process: | 19/00428-7 - Development of nonlocal theory in solid mechanics |
| Grantee: | Adair Roberto Aguiar |
| Support Opportunities: | Regular Research Grants |